22131012333213 has 96 divisors (see below), whose sum is σ = 38194675384320. Its totient is φ = 12073462853760.

The previous prime is 22131012333191. The next prime is 22131012333223. The reversal of 22131012333213 is 31233321013122.

22131012333213 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 101 + 233 + 321 + 3 = 666.

It is not a de Polignac number, because 22131012333213 - 2¹⁷ = 22131012202141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131012333223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2410518483 + ... + 2410527663.

It is an arithmetic number, because the mean of its divisors is an integer number (397861201920).

Almost surely, 2^{22131012333213} is an apocalyptic number.

22131012333213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22131012333213 is a deficient number, since it is larger than the sum of its proper divisors (16063663051107).

22131012333213 is a wasteful number, since it uses less digits than its factorization.

22131012333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12199 (or 12196 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22131012333213 its reverse (31233321013122), we get a palindrome (53364333346335).

The spelling of 22131012333213 in words is "twenty-two trillion, one hundred thirty-one billion, twelve million, three hundred thirty-three thousand, two hundred thirteen".